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Euclidean Geometry And Transformations

Author : Clayton W. Dodge
ISBN : 9780486138428
Genre : Mathematics
File Size : 48.19 MB
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This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Category: Mathematics

Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
ISBN : 9780486135861
Genre : Mathematics
File Size : 88.71 MB
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Category: Mathematics

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 23.10 MB
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Category: Mathematics

Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : CORNELL:31924107164471
Genre : Mathematics
File Size : 78.35 MB
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For many years, this elementary treatise on advanced Euclidean geometry has been the standard textbook in this area of classical mathematics; no other book has covered the subject quite as well. It explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. The author makes liberal use of circular inversion, the theory of pole and polar, and many other modern and powerful geometrical tools throughout the book. In particular, the method of "directed angles" offers not only a powerful method of proof but also furnishes the shortest and most elegant form of statement for several common theorems. This accessible text requires no more extensive preparation than high school geometry and trigonometry.
Category: Mathematics

Transformation Geometry

Author : George E. Martin
ISBN : 9781461256809
Genre : Mathematics
File Size : 75.75 MB
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Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Category: Mathematics

Problems And Solutions In Euclidean Geometry

Author : M. N. Aref
ISBN : 9780486477206
Genre : Mathematics
File Size : 77.64 MB
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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Category: Mathematics

Vector Geometry

Author : Gilbert de B. Robinson
ISBN : 9780486321042
Genre : Mathematics
File Size : 50.91 MB
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Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Category: Mathematics

Excursions In Geometry

Author : Charles Stanley Ogilvy
ISBN : 9780486265308
Genre : Mathematics
File Size : 82.23 MB
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Category: Mathematics

A Vector Space Approach To Geometry

Author : Melvin Hausner
ISBN : 9780486137858
Genre : Mathematics
File Size : 30.60 MB
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This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.
Category: Mathematics

A Modern View Of Geometry

Author : Leonard M. Blumenthal
ISBN : 9780486639628
Genre : Mathematics
File Size : 88.3 MB
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Elegant exposition of the postulation geometry of planes, including coordination of affine and projective planes. Historical background, set theory, propositional calculus, affine planes with Desargues and Pappus properties, construction of metrical planes, much more. Rigorous, lucid treatment of important area in modern mathematics. Corrected republication of the 3rd (1961) edition. Includes 56 figures.
Category: Mathematics